Glassy dynamics and nonextensive effects in the HMF model: the importance of initial conditions

Abstract

We review the anomalies of the HMF model and discuss the robusteness of the glassy features vs the initial conditions. Connections to Tsallis statistics are also addressed.

11 pages, 5 figures. Talk presented at the International conference Complexity and Nonextensivity: New Trends in Statistical Mechanics. - Yukawa Institute for Theoretical Physics - (14-18 March 2005) Kyoto, Japan. New calculations on the glassy behaviour of the HMF model are discussed. Typos correctd. Please note that in the published version, the exponent of the power-law fit observed in fig.2 is erroneously reported as -1/6 instead of the correct value -1.6

References in corpus (1)

• Dynamics and Thermodynamics of a model with long-range interactions

Cited by in corpus (5)

• Exploring the thermodynamic limit of Hamiltonian models: convergence to the Vlasov equation
• Lynden-Bell and Tsallis distributions for the HMF model
• A closer look at the indications of q-generalized Central Limit Theorem behavior in quasi-stationary states of the HMF model
• On the non-Boltzmannian nature of quasi-stationary states in long-range interacting systems
• Effective spin-glass Hamiltonian for the anomalous dynamics of the HMF model